Deductive and Declarative Programming (Cambridge Tracts in Theoretical Computer Science, Series Number 28) - Hardcover

Padawitz, Peter

Hardcover

ISBN 10: 0521417236 ISBN 13: 9780521417235

Publisher: Cambridge University Press, 1992

Synopsis

Declarative programs consist of mathematical functions and relations and are amenable to formal specification and verification, since the methods of logic and proof can be applied to the programs in a well-defined manner. Here Dr Padawitz emphasizes verification based on logical inference rules, i.e. deduction (in contrast with model-theoretic approaches, deductive methods can be automated to some extent). His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming; neither too general with respect to the underlying logic, nor too restrictive for the practice of programming. He generalizes and unifies results from classical theorem-proving and term rewriting to provide proof methods tailored to declarative program synthesis and verification. Detailed examples accompany the development of the methods, whose use is supported by a documented prototyping system. The book can be used for graduate courses or as a reference for researchers in formal methods, theorem-proving and declarative languages.

About this title

Review

"...promotes specification and programming on the basis of Horn logic with equality....His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming, neither too general with respect to the underlying logic, nor too restrictive for the practice of programming. He generalizes and unifies results from classical theorem-proving and term rewriting to provide proof methods tailored to declarative program synthesis and verification. Detailed examples accompany the development of the methods, whose use is supported by a documented prototyping system." Xiang Li, Mathematical Reviews

Book Description

Here Dr Padawitz emphasizes verification based on logical inference rules, i.e. deduction (in contrast with model-theoretic approaches, deductive methods can be automated to some extent). His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming; neither too general with respect to the underlying logic, nor too restrictive for the practice of programming.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1992
• ISBN 10: 0521417236
• ISBN 13: 9780521417235
• Binding: Hardcover
• Language: English
• Number of pages: 285